The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X X 1 1 1 1 X 1 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 X X X X 0 X 0 0 X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X X 0 X X 0 X X X 0 X X 0 X 0 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X X 0 X 0 0 0 X X 0 X X X 0 X X X X X X X X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X 0 X X X X 0 0 0 0 0 X 0 0 X X X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X 0 0 X 0 X 0 0 X X 0 X X 0 X X 0 0 0 0 0 X X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 0 0 X X 0 X 0 X 0 0 0 0 X 0 0 0 X X X X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 X X 0 0 X 0 0 X X X X 0 0 X X 0 0 X 0 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 X 0 X 0 X 0 0 0 0 X X 0 X X X X 0 0 0 X 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X X 0 0 X 0 X 0 X X 0 X X X 0 0 0 X X 0 0 0 0 X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X 0 X X X 0 0 0 X 0 0 X 0 0 0 0 X 0 X X 0 0 X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X X 0 0 X 0 X 0 X 0 X 0 X 0 X 0 0 X X X X X 0 X X X X X 0 X 0 0 0 0 generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+78x^36+34x^38+230x^40+155x^42+307x^44+32x^45+262x^46+224x^47+405x^48+672x^49+320x^50+1120x^51+405x^52+1120x^53+476x^54+672x^55+343x^56+224x^57+385x^58+32x^59+189x^60+246x^62+74x^64+124x^66+13x^68+38x^70+3x^72+7x^74+1x^90 The gray image is a linear code over GF(2) with n=104, k=13 and d=36. This code was found by Heurico 1.16 in 19.6 seconds.